论文标题
在分段超定义组上
On piecewise hyperdefinable groups
论文作者
论文摘要
本文的目的是将E. hrushovski的“稳定组理论和近似亚组”的两个主要模型理论结果推广和改善，以概括为分段超定义集的背景。第一个是谎言模型的存在。第二个是稳定器定理。在此过程中，开发了对分段高可确定集的结构的系统研究。特别是，我们展示了其逻辑拓扑的最重要属性。
The aim of this paper is to generalize and improve two of the main model-theoretic results of "Stable group theory and approximate subgroups" by E. Hrushovski to the context of piecewise hyperdefinable sets. The first one is the existence of Lie models. The second one is the stabilizer theorem. In the process, a systematic study of the structure of piecewise hyperdefinable sets is developed. In particular, we show the most significant properties of their logic topologies.
